Fuzzy and Neutrosophic Sets in Semigroups

Fuzzy and Neutrosophic Sets in Semigroups PDF Author: Young Bae Jun
Publisher: Infinite Study
ISBN: 1599735482
Category : Mathematics
Languages : en
Pages : 96

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Book Description
The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.

Fuzzy and Neutrosophic Sets in Semigroups

Fuzzy and Neutrosophic Sets in Semigroups PDF Author: Young Bae Jun
Publisher: Infinite Study
ISBN: 1599735482
Category : Mathematics
Languages : en
Pages : 96

Get Book Here

Book Description
The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.

Neutrosophic ℵ −bi-ideals in semigroups

Neutrosophic ℵ −bi-ideals in semigroups PDF Author: K. Porselvi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13

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Book Description
In this paper, we introduce the notion of neutrosophic ℵ-bi-ideal for a semigroup. We infer different semigroups using neutrosophic ℵ -bi-ideal structures. Moreover, for regular semigroups, neutrosophic ℵ-product and intersection of neutrosophic ℵ-ideals are identical.

Neutrosophic ℵ −ideals in semigroups

Neutrosophic ℵ −ideals in semigroups PDF Author: Balasubramanian Elavarasan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

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Book Description
The aim of this paper is to introduce the notion of neutrosophic ℵ −ideals in semigroups and investigate their properties. Conditions for neutrosophic ℵ −structure to be a neutrosophic ℵ −ideal are provided. We also discuss the concept of characteristic neutrosophic ℵ −structure of semigroups and its related properties.

Algebraic Structures of Semigroup by Rough Neutrosophic Ideals

Algebraic Structures of Semigroup by Rough Neutrosophic Ideals PDF Author: V.S. Subha
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

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Book Description
In this article, we will look at the definition of rough neutrosophic set in semigroups and investigate their properties. We also introduce the concept of rough Neutrosophic (right,left,two-sided,bi-) ideals in a semigroup and study some properties of the ideals of semigroup.

Neutrosophic N-structures and their applications in semigroups

Neutrosophic N-structures and their applications in semigroups PDF Author: Madad Khan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 17

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Book Description
The notion of neutrosophic N-structure is introduced, and applied it to semigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated.

Some Properties of Q-Neutrosophic Ideals of Semirings

Some Properties of Q-Neutrosophic Ideals of Semirings PDF Author: Debabrata Mandal
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
The intention of this paper is to introduce and study some properties of the ideals of semirings using the concept of Q-neutrosophic set.

Neutrosophic ℵ−interior ideals in semigroups

Neutrosophic ℵ−interior ideals in semigroups PDF Author: K. Porselvi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

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Book Description
We define the concepts of neutrosophic ℵ -interior ideal and neutrosophic ℵ −characteristic interior ideal structures of a semigroup. We infer different types of semigroups using neutrosophic ℵ-interior ideal structures. We also show that the intersection of neutrosophic ℵ-interior ideals and the union of neutrosophic ℵ-interior ideals is also a neutrosophic ℵ-interior ideal.

Neutrosophic Set Theory Applied to UP-Algebras

Neutrosophic Set Theory Applied to UP-Algebras PDF Author: Metawee Songsaeng
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 28

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Book Description
The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.

NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS

NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS PDF Author: K. PORSELVI
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14

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Book Description
In this paper, we introduce the notion of neutrosophic N -bi-ideal structure over a semigroup. We characterize semigroups, regular semigroups and intra-regular semigroups in terms of neutrosophic N -bi-ideal structures. We also show that the intersection of neutrosophic N -ideals and the neutrosophic N -product of ideals will coincide for a regular semigroup.

Neutrosophic Set Approach for Characterizations of Left Almost Semigroups

Neutrosophic Set Approach for Characterizations of Left Almost Semigroups PDF Author: Madad Khan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16

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Book Description
In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them.